Why does the vertical component of velocity for a projectile change with time, whereas the horizontal component of velocity does
1 answer:
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Answer:
The minimum speed required is 5.7395km/s.
Explanation:
To escape earth, the kinetic energy of the asteroid must be greater or equal to its gravitational potential energy:
or
where is the mass of the asteroid,
is its distance form earth's center,
is the mass of the earth, and
is the gravitational constant.
Solving for we get:
putting in numerical values gives
in kilometers this is
Hence, the minimum speed required is 5.7395km/s.